Question

Write the expression as a single logarithm.

log340 – log310

Show Work

Answer 1

\[\log_{} a-\log_{} b=\log_{} \frac{a}{b}\]

Answer 2

the only thing i dont like is how it says "show work" when there is basically very very little work to show.. besides the reducing....

Answer 3

I am pretty new to this, would you please do a step by step?

Answer 4

One of the basic rules of logarithms is:
\[\log_{} a-\log_{} b =\log_{} \frac{a}{b}\]
Let a = 340 and let b = 310.
Now substitute the values of a and b into the basic rule.

Answer 5

So basically I end up with log340/310? And then reduced to log34/31?

Answer 6

@giggitygun You are correct :)

Answer 7

Oh didn't realize it was that easy, thanks!

Answer 8

You're welcome :)